The function r(t) = (0, 5+ 3 cos (4t), 3 sin (4t)) traces a circle. Determine the radius, center, and plane containing the circle. (Use symbolic notation and fractions where needed.) radius: (Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (* *, * ).) center: The circle lies in the xy-plane xz-plane yz-plane

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The function **r(t) = ⟨0, 5 + 3 cos(4t), 3 sin(4t)⟩** traces a circle. Determine the radius, center, and plane containing the circle.

(Use symbolic notation and fractions where needed.)

**Radius:**

[Input box for radius]

(Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (*, *, *).)

**Center:**

[Input box for center]

**The circle lies in the**

- [ ] xy-plane
- [ ] xz-plane
- [x] yz-plane
Transcribed Image Text:The function **r(t) = ⟨0, 5 + 3 cos(4t), 3 sin(4t)⟩** traces a circle. Determine the radius, center, and plane containing the circle. (Use symbolic notation and fractions where needed.) **Radius:** [Input box for radius] (Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (*, *, *).) **Center:** [Input box for center] **The circle lies in the** - [ ] xy-plane - [ ] xz-plane - [x] yz-plane
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